<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div dir="ltr"><div dir="ltr"><table class="row row-3" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="-webkit-text-size-adjust: 100%; border-collapse: collapse; color: rgb(0, 0, 0); font-size: 19px;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;">P.S. Eckhart Hall 206, 3pm-4pm. <br><br><br><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="100%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; padding: 5px 40px 10px; vertical-align: top; border: 0px;"><table class="divider_block block-5" width="100%" border="0" cellpadding="10" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word;"><div class="alignment" align="center" style="box-sizing: border-box;"><table border="0" cellpadding="0" cellspacing="0" role="presentation" width="100%" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="divider_inner" style="box-sizing: border-box; word-break: break-word; font-size: 1px; line-height: 1px; border-top-width: 4px; border-top-style: solid; border-top-color: rgb(85, 85, 85);"><span style="box-sizing: border-box;"> </span></td></tr></tbody></table></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></div><div dir="ltr">On Feb 14, 2023, at 8:11 PM, Alexander Razborov <razborov@uchicago.edu> wrote:<br><blockquote type="cite"><br></blockquote></div><blockquote type="cite"><div dir="ltr"><meta http-equiv="content-type" content="text/html; charset=utf-8">The following might be of interest to many on this list.<div dir="ltr"></div><div><br></div><div><center style="box-sizing: border-box; -webkit-text-size-adjust: 100%; background-color: rgb(255, 255, 255);"><table border="0" cellpadding="0" cellspacing="0" height="100%" width="100%" id="bodyTable" style="border-collapse: collapse; background-color: rgb(244, 244, 244);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="bodyCell" align="center" valign="top" style="box-sizing: border-box; word-break: break-word; margin: 0px auto; padding: 0px; width: 640px;"><table id="root" border="0" cellpadding="0" cellspacing="0" width="100%" style="border-collapse: collapse;"><tbody class="mceWrapper" style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td align="center" valign="top" class="mceWrapperOuter" style="box-sizing: border-box; word-break: break-word;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse; max-width: 660px;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceWrapperInner" valign="top" style="box-sizing: border-box; word-break: break-word; background-color: rgb(255, 255, 255); background-size: cover; background-position: center center; background-repeat: no-repeat no-repeat;"><table align="center" border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr class="mceRow" style="box-sizing: border-box;"><td valign="top" style="box-sizing: border-box; word-break: break-word; background-size: cover; background-position: center center; background-repeat: no-repeat no-repeat;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceColumn" valign="top" colspan="12" width="100%" style="box-sizing: border-box; word-break: break-word; padding-top: 0px; padding-bottom: 0px;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceSpacing-24" valign="top" style="box-sizing: border-box; word-break: break-word;"><div class="mceCode" style="box-sizing: border-box;"><table class="nl-container" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse; background-color: rgb(247, 247, 247);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row row-1" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse; background-size: auto;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(53, 61, 70); background-image: url("https://d15k2d11r6t6rl.cloudfront.net/public/users/Integrators/BeeProAgency/861155_845253/Math%20Header.jpg"); background-size: cover; color: rgb(0, 0, 0); background-repeat: no-repeat no-repeat;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="100%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; padding-top: 0px; padding-bottom: 0px; border: 0px;"><table class="image_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; width: 640px; padding: 45px 0px 50px;"><div class="alignment" align="center" style="box-sizing: border-box; line-height: 10px;"><div><The University of Chicago Department of Mathematics Colloquium Series.png></div></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table><table class="row row-2" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(255, 255, 255); border-radius: 0px; color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="50%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="image_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; width: 640px; padding: 20px 0px 15px;"><div class="alignment" align="center" style="box-sizing: border-box; line-height: 10px;"><div><Photo of Nick Rozenblyum.png></div></div></td></tr></tbody></table></td><td class="column column-2" width="50%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="heading_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; text-align: center; width: 640px; padding-top: 25px;"><h1 style="box-sizing: border-box; margin: 0px; padding: 0px; color: rgb(218, 154, 26); direction: ltr; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 38px; line-height: 45.599998px; text-align: left;"><span class="tinyMce-placeholder" style="box-sizing: border-box;">Jinyoung Park</span></h1></td></tr></tbody></table><table class="paragraph_block block-4" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse; word-break: break-word;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 20px;"><div style="box-sizing: border-box; color: rgb(16, 17, 18); direction: ltr; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px; letter-spacing: 0px; line-height: 19.200001px;"><p style="box-sizing: border-box; margin: 0px 0px 16px; padding: 0px; word-break: break-word; line-height: inherit;">Visiting Assistant Professor</p><p style="box-sizing: border-box; margin: 0px 0px 16px; padding: 0px; word-break: break-word; line-height: inherit;">Courant Institute of Mathematical Sciences</p><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit;">New York University</p></div></td></tr></tbody></table><table class="button_block block-5" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 15px; padding-bottom: 5px;"><div class="alignment" align="left" style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=85940c441a&e=a52274294a" target="_blank" style="box-sizing: border-box; word-break: keep-all; text-decoration: none; display: inline-block; color: rgb(218, 154, 26); border-radius: 0px; width: auto; border: 1px solid rgb(53, 61, 70); padding-top: 0px; padding-bottom: 0px; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px; text-align: center;"><span style="box-sizing: border-box; padding-left: 30px; padding-right: 30px; display: inline-block;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; line-height: 32px;">Learn More</span></span></a></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table><table class="row row-3" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="100%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; padding: 5px 40px 10px; vertical-align: top; border: 0px;"><table class="divider_block block-1" width="100%" border="0" cellpadding="10" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word;"><div class="alignment" align="center" style="box-sizing: border-box;"><table border="0" cellpadding="0" cellspacing="0" role="presentation" width="100%" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="divider_inner" style="box-sizing: border-box; word-break: break-word; font-size: 1px; line-height: 1px; border-top-width: 4px; border-top-style: solid; border-top-color: rgb(85, 85, 85);"><span style="box-sizing: border-box;"> </span></td></tr></tbody></table></div></td></tr></tbody></table><table class="heading_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-bottom: 15px; text-align: center; width: 560px;"><h2 style="box-sizing: border-box; margin: 0px; padding: 0px; color: rgb(139, 0, 33); direction: ltr; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 30px; line-height: 36px; text-align: left;">Thresholds</h2></td></tr></tbody></table><table class="text_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse; word-break: break-word;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word;"><div style="box-sizing: border-box; font-family: Arial, sans-serif;"><div class="" style="box-sizing: border-box; font-size: 12px; color: rgb(53, 61, 70); line-height: 1.8; font-family: Arial, "Helvetica Neue", Helvetica, sans-serif;"><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit;"><span style="box-sizing: border-box; font-size: 16px;">For a finite set X, a family F of subsets of X is said to be increasing if any set A that contains B in F is also in F. The p-biased product measure of F increases as p increases from 0 to 1, and often exhibits a drastic change around a specific value, which is called a "threshold." Thresholds of increasing families have been of great historical interest and a central focus of the study of random discrete structures (e.g. random graphs and hypergraphs), with estimation of thresholds for specific properties the subject of some of the most challenging work in the area. In 2006, Jeff Kahn and Gil Kalai conjectured that a natural (and often easy to calculate) lower bound q(F) (which we refer to as the “expectation-threshold”) for the threshold is in fact never far from its actual value. A positive answer to this conjecture enables one to narrow down the location of thresholds for any increasing properties in a tiny window. In particular, this easily implies several previously very difficult results in probabilistic combinatorics such as thresholds for perfect hypergraph matchings (Johansson–Kahn–Vu) and bounded-degree spanning trees (Montgomery). In this talk, I will present recent progress on this topic. </span></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit;"> </p><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit;"><span style="box-sizing: border-box; font-size: 16px;">Based on joint work with Keith Frankston, Jeff Kahn, Bhargav Narayanan, and Huy Tuan Pham.</span></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit;"> </p></div></div></td></tr></tbody></table><table class="heading_block block-4" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 20px; text-align: center; width: 560px;"><h1 style="box-sizing: border-box; margin: 0px; padding: 0px; color: rgb(218, 154, 26); direction: ltr; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 38px; line-height: 45.599998px; text-align: left;"><span class="tinyMce-placeholder" style="box-sizing: border-box;">Details:</span></h1></td></tr></tbody></table><table class="divider_block block-5" width="100%" border="0" cellpadding="10" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word;"><div class="alignment" align="center" style="box-sizing: border-box;"><table border="0" cellpadding="0" cellspacing="0" role="presentation" width="100%" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="divider_inner" style="box-sizing: border-box; word-break: break-word; font-size: 1px; line-height: 1px; border-top-width: 4px; border-top-style: solid; border-top-color: rgb(85, 85, 85);"><span style="box-sizing: border-box;"> </span></td></tr></tbody></table></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table><table class="row row-6" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(255, 255, 255); border-radius: 0px; color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="25%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 5px; padding-bottom: 5px;"><div class="alignment" align="left" style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=ab8a64b39c&e=a52274294a" target="_blank" style="box-sizing: border-box; word-break: keep-all; text-decoration: none; display: inline-block; color: rgb(139, 0, 33); border-radius: 0px; width: auto; border: 2px solid rgb(0, 0, 0); padding-top: 0px; padding-bottom: 0px; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px; text-align: center;"><span style="box-sizing: border-box; padding-left: 20px; padding-right: 20px; display: inline-block;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; line-height: 32px;">Add to Google</span></span></a></div></td></tr></tbody></table></td><td class="column column-2" width="25%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 5px; padding-bottom: 5px;"><div class="alignment" align="left" style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=a20b86149a&e=a52274294a" target="_blank" style="box-sizing: border-box; word-break: keep-all; text-decoration: none; display: inline-block; color: rgb(139, 0, 33); border-radius: 0px; width: auto; border: 2px solid rgb(0, 0, 0); padding-top: 0px; padding-bottom: 0px; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px; text-align: center;"><span style="box-sizing: border-box; padding-left: 20px; padding-right: 20px; display: inline-block;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; line-height: 32px;">Add to Outlook</span></span></a></div></td></tr></tbody></table></td><td class="column column-3" width="50%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; text-align: center; padding-top: 5px; padding-bottom: 5px;"><div class="alignment" align="center" style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=9033bc26c9&e=a52274294a" target="_blank" style="box-sizing: border-box; word-break: keep-all; text-decoration: none; display: inline-block; color: rgb(218, 154, 26); border-radius: 0px; width: auto; border: 2px solid rgb(0, 0, 0); padding-top: 0px; padding-bottom: 0px; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px;"><span style="box-sizing: border-box; padding-left: 30px; padding-right: 30px; display: inline-block;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; line-height: 32px;"><strong style="box-sizing: border-box;">Join Zoom</strong></span></span></a></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table><table class="row row-7" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(255, 255, 255); border-radius: 0px; color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="100%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; padding-top: 5px; padding-bottom: 5px; border: 0px;"><div class="spacer_block" style="box-sizing: border-box; height: 20px; line-height: 20px; font-size: 1px;"> </div></td></tr></tbody></table></td></tr></tbody></table><table class="row row-8" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word;"><table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" width="680" style="border-collapse: collapse; width: 680px; background-color: rgb(53, 61, 70); border-radius: 0px; color: rgb(0, 0, 0);"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="column column-1" width="50%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; padding-left: 60px; padding-right: 40px; vertical-align: top; border: 0px;"><table class="heading_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 55px; text-align: center; width: 540px;"><h3 style="box-sizing: border-box; margin: 0px; padding: 0px; text-align: left; color: rgb(255, 255, 255); direction: ltr; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 12px; font-weight: 400; line-height: 14.4px;"><span class="tinyMce-placeholder" style="box-sizing: border-box;">Department of Mathematics </span></h3></td></tr></tbody></table><table class="heading_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 5px; text-align: center; width: 540px;"><h3 style="box-sizing: border-box; margin: 0px; padding: 0px; text-align: left; color: rgb(255, 255, 255); direction: ltr; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 12px; font-weight: 400; line-height: 14.4px;"><span class="tinyMce-placeholder" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">5734 S University Ave</span></span></h3></td></tr></tbody></table><table class="heading_block block-4" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-top: 5px; text-align: center; width: 540px; padding-bottom: 20px;"><h3 style="box-sizing: border-box; margin: 0px; padding: 0px; text-align: left; color: rgb(255, 255, 255); direction: ltr; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 12px; font-weight: 400; line-height: 14.4px;"><span class="tinyMce-placeholder" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">Chicago, IL 60637</span></span></h3></td></tr></tbody></table></td><td class="column column-2" width="50%" style="box-sizing: border-box; word-break: break-word; width: 640px; display: block; vertical-align: top; border: 0px;"><table class="heading_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding-bottom: 10px; padding-top: 45px; text-align: center; width: 640px;"><h3 style="box-sizing: border-box; margin: 0px; padding: 0px; color: rgb(255, 255, 255); direction: ltr; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 14px; font-weight: 400; line-height: 16.799999px;"><strong style="box-sizing: border-box;">Connect with Us</strong></h3></td></tr></tbody></table><table class="social_block block-4" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="pad" style="box-sizing: border-box; word-break: break-word; padding: 10px 10px 30px; text-align: center;"><div class="alignment" align="center" style="box-sizing: border-box;"><table class="social-table" width="108px" border="0" cellpadding="0" cellspacing="0" role="presentation" style="border-collapse: collapse; display: inline-block;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td style="box-sizing: border-box; word-break: break-word; padding: 0px 2px;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=36946befe9&e=a52274294a" target="_blank" style="box-sizing: border-box;"><div><Facebook.png></div></a></td><td style="box-sizing: border-box; word-break: break-word; padding: 0px 2px;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=23f1f94853&e=a52274294a" target="_blank" style="box-sizing: border-box;"><div><Linkedin.png></div></a></td><td style="box-sizing: border-box; word-break: break-word; padding: 0px 2px;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=88fae7b1ed&e=a52274294a" target="_blank" style="box-sizing: border-box;"><div><YouTube.png></div></a></td></tr></tbody></table></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></div></td></tr><tr style="box-sizing: border-box;"><td class="mceSpacing-24" valign="top" style="box-sizing: border-box; word-break: break-word; padding: 20px 24px;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td valign="top" style="box-sizing: border-box; word-break: break-word; min-width: 100%; border-top-width: 2px; border-top-style: solid; border-top-color: rgb(0, 0, 0);"></td></tr></tbody></table></td></tr><tr style="box-sizing: border-box;"><td class="mceSpacing-24" valign="top" style="box-sizing: border-box; word-break: break-word; padding: 8px;"><table align="center" border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" id="section_a07cd50a51f65560d9c7872c5876bafb" class="mceFooterSection" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr class="mceRow" style="box-sizing: border-box;"><td valign="top" style="box-sizing: border-box; word-break: break-word; background-size: cover; background-position: center center; background-repeat: no-repeat no-repeat;"><table border="0" cellpadding="0" cellspacing="12" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceColumn" valign="top" colspan="12" width="100%" style="box-sizing: border-box; word-break: break-word; padding-top: 0px; padding-bottom: 0px;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceSpacing-24" align="center" valign="top" style="box-sizing: border-box; word-break: break-word; padding: 12px 24px;"><div class="mceText" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, Verdana, sans-serif; display: inline-block; width: 576px; font-size: 12px;"><p class="last-child" style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit; font-size: 16px;"><em style="box-sizing: border-box;">Copyright (C) 2023 Math Department. All rights reserved.</em><br style="box-sizing: border-box;">You are receiving this email because you opted in via our website. <br style="box-sizing: border-box;"><br style="box-sizing: border-box;">Our mailing address is:<br style="box-sizing: border-box;"></p><div class="vcard" style="box-sizing: border-box;"><span class="org fn" style="box-sizing: border-box;">Math Department</span><div class="adr" style="box-sizing: border-box;"><div class="street-address" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">5734 S University Ave Ste 108</span></div><span class="locality" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">Chicago</span></span><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">, </span><span class="region" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">IL</span></span> <span class="postal-code" style="box-sizing: border-box;"><span dir="ltr" style="box-sizing: border-box; word-break: break-word; font-size: inherit !important; font-family: inherit !important; line-height: inherit !important;">60637-1501</span></span></div><br style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/vcard?u=350fc31a7f826e3b52544f33a&id=79c92b99c0" class="hcard-download" style="box-sizing: border-box; color: rgb(0, 0, 0);">Add us to your address book</a></div><br style="box-sizing: border-box;"><br style="box-sizing: border-box;">Want to change how you receive these emails?<br style="box-sizing: border-box;">You can <a href="https://uchicago.us2.list-manage.com/profile?u=350fc31a7f826e3b52544f33a&id=79c92b99c0&e=a52274294a&c=af2c3acc8e" style="box-sizing: border-box; color: rgb(0, 0, 0);">update your preferences</a> or <a href="https://uchicago.us2.list-manage.com/unsubscribe?u=350fc31a7f826e3b52544f33a&id=79c92b99c0&e=a52274294a&c=af2c3acc8e" style="box-sizing: border-box; color: rgb(0, 0, 0);">unsubscribe</a><p style="box-sizing: border-box; margin: 0px; padding: 0px; word-break: break-word; line-height: inherit; font-size: 16px;"></p></div></td></tr><tr style="box-sizing: border-box;"><td class="mceSpacing-24" align="center" valign="top" style="box-sizing: border-box; word-break: break-word;"><table align="center" border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr class="mceRow" style="box-sizing: border-box;"><td valign="top" style="box-sizing: border-box; word-break: break-word; background-size: cover; background-position: center center; background-repeat: no-repeat no-repeat;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceColumn" valign="top" colspan="12" width="100%" style="box-sizing: border-box; word-break: break-word;"><table border="0" cellpadding="0" cellspacing="0" width="100%" role="presentation" style="border-collapse: collapse;"><tbody style="box-sizing: border-box;"><tr style="box-sizing: border-box;"><td class="mceSpacing-24" align="center" valign="top" style="box-sizing: border-box; word-break: break-word;"><div style="box-sizing: border-box;"><div style="box-sizing: border-box;"><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=88823bd0f8&e=a52274294a" target="_blank" rel="noopener noreferrer" style="box-sizing: border-box;"><div><Email Marketing Powered by Mailchimp.png></div></a></div></div></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table></center><div><open.php></div></div></div></blockquote></div></body></html>